Mode coupling theory in relation to the dynamical renormalization group method -- Field-theoretic method applied to critical dynamics -- Critical dynamics below Tc -- The Migdal approximation and other new methods in the real-space renormalization group approach to critical dynamics -- Application of real-space renormalization group approach to critical dynamics -- Light scattering from helium 4 near the lambda point -- Dynamic scaling near the Lambda point of liquid He4 -- Transport properties near the superfluid transition and near the tricritical point of He3-He4 mixtures -- Renomarlization group calculations for critical and tricritical dynamics applied to helium -- Intrinsic and extrinsic central-peak properties near structural phase transitions -- Systems with quenched random impurities, an overview of dynamics, replicas and frustration approaches -- Dynamics of the one-dimensional Heisenberg spin system -- Experiments on hydrodynamic instabilities and the transition to turbulence -- Theory of hydrodynamic instabilities -- Fully developed turbulence and renormalization group -- Critical dynamics far from equilibrium -- Experimental aspects of transition phenomena in quantum optics.